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Arbitrarily high order accurate entropy stable essentially non-oscillatory schemes for systems of conservation laws

by U. S. Fjordholm and S. Mishra and E. Tadmor

(Report number 2011-39)

Abstract
We design arbitrarily high-order accurate entropy stable schemes for systems of conservation laws. The schemes, termed TeCNO schemes, are based on two main ingredients: (i) high-order accurate entropy conservative uxes, and (ii) suitable numerical diusion operators involving ENO reconstructed cell-interface values of scaled entropy variables. Numerical experiments in one and two space dimensions are presented to illustrate the robust numerical performance of the TeCNO schemes.

Keywords:

@Techreport{FMT11_91,
  author = {U. S. Fjordholm and S. Mishra and E. Tadmor},
  title = {Arbitrarily high order accurate entropy stable essentially non-oscillatory schemes for systems of conservation laws },
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2011-39},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2011/2011-39.pdf },
  year = {2011}
}

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